{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "w = np.array([\n",
    "    0.906,\n",
    "    1.746,\n",
    "    2.846,\n",
    "    3.806,\n",
    "    4.446,\n",
    "    5.016,\n",
    "    5.346,\n",
    "    6.446,\n",
    "    7.556,\n",
    "    8.646,\n",
    "    9.616,\n",
    "    10.376\n",
    "])\n",
    "\n",
    "t = - np.array([\n",
    "      6.902 - 14.048,\n",
    "      1.668 - 5.436,\n",
    "      1.902 - 4.679,\n",
    "      0.771 - 3.588,\n",
    "      0.603 - 2.862,\n",
    "      0.514 - 3.775,\n",
    "      1.592 - 4.494,\n",
    "      1.888 - 4.160,\n",
    "      0.986 - 3.275,\n",
    "      1.312 - 3.271,\n",
    "      1.075 - 3.575,\n",
    "      0.656 - 2.153\n",
    "])\n",
    "\n",
    "l = (34.3 - 4.1) / 1e3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "v = l / t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 520x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5.2, 4))\n",
    "\n",
    "ax1 = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
    "ax1.scatter(w, t)\n",
    "plt.grid()\n",
    "plt.title(\"t - n curve\")\n",
    "plt.xlabel(\"n / s⁻¹\")\n",
    "plt.ylabel(\"t / s\")\n",
    "plt.xlim(0)\n",
    "plt.legend([\"D = 4.10 mm\\nd = 2.8 mm\\nl = (34.30 - D) mm\"])\n",
    "\n",
    "ax2 = fig.add_axes([1.1, 0.1, 0.8, 0.8])\n",
    "ax2.scatter(w, v)\n",
    "plt.grid()\n",
    "plt.title(\"v - n curve\")\n",
    "plt.xlabel(\"n / s⁻¹\")\n",
    "plt.ylabel(\"v / m∙s⁻¹\")\n",
    "plt.xlim(0)\n",
    "plt.legend([\"D = 4.10 mm\\nd = 2.8 mm\\nl = (34.30 - D) mm\"])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**数据报废**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6.064 4.446 2.126 1.772 1.504 1.121 0.998 0.772 0.746 0.672 0.656 0.628\n",
      " 0.617 0.551 0.509 0.55  0.498 0.502 0.408 0.442 0.394 0.398 0.397 0.341]\n"
     ]
    }
   ],
   "source": [
    "w = np.array([\n",
    "    1.012,\n",
    "    1.412,\n",
    "    2.472,\n",
    "    3.472,\n",
    "    4.432,\n",
    "    5.362,\n",
    "    6.332,\n",
    "    7.232,\n",
    "    8.102,\n",
    "    8.922,\n",
    "    10.572,\n",
    "    11.202,\n",
    "    12.162,\n",
    "    12.832,\n",
    "    13.852,\n",
    "    14.632,\n",
    "    15.432,\n",
    "    16.232,\n",
    "    17.232,\n",
    "    17.872,\n",
    "    18.552,\n",
    "    18.962,\n",
    "    19.712,\n",
    "    20.482\n",
    "])\n",
    "\n",
    "t = - np.array([\n",
    "    0.965 - 7.029,\n",
    "    0.998 - 5.444,\n",
    "    0.405 - 2.531,\n",
    "    1.705 - 3.477,\n",
    "    1.441 - 2.945,\n",
    "    1.586 - 2.707,\n",
    "    0.688 - 1.686,\n",
    "    1.185 - 1.957,\n",
    "    0.931 - 1.677,\n",
    "    0.735 - 1.407,\n",
    "    1.489 - 2.145,\n",
    "    0.712 - 1.340,\n",
    "    1.008 - 1.625,\n",
    "    0.483 - 1.034,\n",
    "    0.812 - 1.321,\n",
    "    1.007 - 1.557,\n",
    "    1.231 - 1.729,\n",
    "    2.066 - 2.568,\n",
    "    1.443 - 1.851,\n",
    "    1.465 - 1.907,\n",
    "    0.964 - 1.358,\n",
    "    1.272 - 1.670,\n",
    "    0.928 - 1.325,\n",
    "    0.998 - 1.339\n",
    "])\n",
    "\n",
    "D = 5.7\n",
    "l = (34.3 - D) / 1e3\n",
    "\n",
    "v = l / t\n",
    "print(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 520x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5.2, 4))\n",
    "\n",
    "ax1= fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
    "ax1.scatter(w, t)\n",
    "plt.grid()\n",
    "plt.title(\"t - n curve\")\n",
    "plt.xlabel(\"n / s⁻¹\")\n",
    "plt.ylabel(\"t / s\")\n",
    "plt.xlim(0)\n",
    "plt.legend([\"D = 5.70 mm\\nd = 4.3 mm\\nl = (34.30 - D) mm\"])\n",
    "\n",
    "ax2 = fig.add_axes([1.1, 0.1, 0.8, 0.8])\n",
    "plt.scatter(w, v)\n",
    "plt.grid()\n",
    "plt.title(\"v - n curve\")\n",
    "plt.xlabel(\"n / s⁻¹\")\n",
    "plt.ylabel(\"v / m∙s⁻¹\")\n",
    "plt.xlim(0)\n",
    "plt.ylim(0, 0.1)\n",
    "plt.legend([\"D = 5.70 mm\\nd = 4.3 mm\\nl = (34.30 - D) mm\"])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coefficient = np.polyfit(w, v, 1)\n",
    "pred_v = coefficient[0] * w + coefficient[1]\n",
    "\n",
    "plt.plot(w, pred_v)\n",
    "plt.scatter(w, v)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "m_0 = 0.8 / 1e3\n",
    "m = np.array([8, 9, 10, 11, 12, 13, 14])\n",
    "m_no = np.array([1, 2, 3, 4, 5, 6, 7, 15, 16])\n",
    "\n",
    "t = - np.array([\n",
    "    0.782 - 5.105,\n",
    "    0.411 - 3.126,\n",
    "    0.753 - 3.332,\n",
    "    0.840 - 3.431,\n",
    "    0.485 - 3.755,\n",
    "    0.572 - 4.356,\n",
    "    0.703 - 5.414\n",
    "])\n",
    "\n",
    "v = l / t\n",
    "\n",
    "v_no = np.array([0, 0, 0, 0, 0, 0, 0, 0, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(m, t)\n",
    "plt.grid()\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"v - m curve\")\n",
    "plt.xlabel(\"m / x 0.80 g\")\n",
    "plt.ylabel(\"v / m∙s⁻¹\")\n",
    "plt.scatter(m, v)\n",
    "plt.scatter(m_no, v_no, c=\"r\", marker=\"x\")\n",
    "plt.legend([\"D = 5.70 mm\\nd = 4.3 mm\\nl = (34.30 - D) mm\", \"useless data\"])\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "pytorch",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
